Events for 02/01/2023 from all calendars

Groups and Dynamics Seminar

Time: 3:00PM - 4:00PM

Location: zoom

Speaker: Volodymyr Nekrashevych, Texas A&M University

Title: Conformal dimension and other numerical invariants of self-similar groups

Abstract: We will discuss different numerical invariants associated with a self-similar group: l^p-contraction, Ahlfors-regular conformal dimension of the limit space, complexity of portraits, critical exponents for p-parabolicty, for recurrence of random walks, etc. We will show applications of these notions to algebraic properties of the groups and to geometry of the limit spaces.

Ewing Lectures in Computational Science

Time: 4:00PM - 5:00PM

Location: Blocker 117

Speaker: Dr Andrew Stuart, Caltech

Title: The Legacy of Rudolph Kalman: Applications, Algorithms and Analysis

Abstract:

In 1960 Rudolph Kalman published what is arguably the first paper to develop a systematic, principled approach to the use of data to improve the predictive capability of mathematical models. As our ability to gather data grows at an enormous rate, the importance of this work continues to grow too. The lecture will describe Kalman's paper and how it lead to other algorithms, including ensemble Kalman filtering. These methods have revolutionized applications such as navigation, weather prediction, oceanography, oil recovery and medical imaging; and they shows promise to impact other areas such as machine learning. Various applications will be highlighted in the talk.

Algorithms will be introduced through a simple iterative optimization framework. Despite their widespread use in applications, ensemble Kalman methods have attracted limited analysis. The talk will conclude by explaining a framework for their analysis, based on mean-field interacting particle systems, and recent theoretical results stemming from this framework.